A well known model of genetic epistatic interactions
is the NK family of rugged multipeaked fitness landscapes [1]}, [2]}, [3]}, [4]}.
In this model, besides the genome length \(N\in \mathbb {N}\) , the integer \(K\in \mathbb {Z}_{(0,N-1)}\) , describes the epistatic interactions between loci in the genome and the contribution of each component to the total fitness, which depends on its own value as well as the values of \(K\)  other loci.
The fitness per locus is formally defined as:
\(f_i:\lbrace  0,1\rbrace ^{K+1}\longrightarrow [0,1), \,\,\,\, \forall 1\le i \le N.\nonumber \) 
